KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A simple harmonic motion is represented by; \[y=5(\sin 3\pi t+\sqrt{3}\cos 3\pi t)\]. The amplitude and time period of the motion are:

    A) 10 cm, \[\frac{2}{3}s\]  

    B) 10 cm, \[\frac{3}{2}s\]

    C) 5 cm, \[\frac{3}{5}s\]                

    D) 5 cm, \[\frac{2}{3}s\]

    Correct Answer: A

    Solution :

    \[y=5\left( \sin 3\pi t+\sqrt{3}\cos \pi t \right)cm\] \[\Rightarrow \]   \[y=10\,\sin \,(3\pi t+\phi )\] \[\Rightarrow \]   \[A=10\text{ }cm\] \[\Rightarrow \]   \[T=\frac{2}{3}\sec .\]  


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